Should the government be able to order you to give a blood sample so they can pop out a clone of you, which they can then use to impersonate you towards _anyone_, say, your spouse, in order to potentially perform arbitrarily broad collection whos scope they'll hide under the guise of national security?

They're not asking for evidence, they order the operator of the service to be complicit in aiding the government in impersonating the service towards all of its users.